Mathematics
If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a
parallelogram
rhombus
rectangle
square
Answer
If the diagonals of a quadrilateral PQRS bisect each other, then the quadrilateral PQRS must be a parallelogram.
All the shapes rhombus, rectangle and square are parallelogram but not vice-versa.
Hence, they have all the properties of a parallelogram.
Hence, Option 1 is the correct option.
Related Questions
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
parallelogram
rectangle
rhombus
square
If the diagonals of a square ABCD intersect each other at O, then △OAB is
an equilateral triangle
a right angled but not an isosceles triangle
an isosceles but not right angles triangle
an isosceles right angled triangle.
Which of the following statement is true for a parallelogram?
Its diagonals are equal.
Its diagonals are perpendicular to each other.
The diagonals divide the parallelogram into four congruent triangles.
The diagonals bisect each other.
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to
24°
86°
38°
32°